Real numbers as infinite decimals
نویسندگان
چکیده
Stemming from an idea put forward by Loo-Keng Hua in 1962, this article describes original way to perform arithmetic directly on infinite decimals. This approach leads a new and elementary construction of the real number system via decimal representation. Based least upper bound property, definition trigonometric functions is also included, which settles issue that Godfrey H. Hardy called \a fatal defect" his Course Pure Mathematics.
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ژورنال
عنوان ژورنال: The Mathematics Enthusiast
سال: 2021
ISSN: ['1551-3440']
DOI: https://doi.org/10.54870/1551-3440.1511